Though the items may be older, they still provide information. Released free-response items from the 2002 AP® Calculus BC exam provide teachers and pupils with information about how topics appear on the exam. Questions come from the AB...

Let's put it in context. Pupils use the AP® Calculus BC free-response questions to practice for the exam. Five of the six released items deal with mathematical problems, with one using a real-world situation. Learners use differentiation...

Find the connection between trigonometry and tornadoes. Pairs investigate a tornado in Joplin, Mo., and use trigonometry to find its size. The pupils determine the path of the tornado and find the distance needed to travel to help...

Pupils gather measurements of real-world objects that have slopes. They then plot the measurements and find an equation of a line that fits the measurements. Finally, groups investigate the ADA and determine whether different ramps meet...

Which truck should the fire department purchase? Given a scenario with three different ladder trucks, pupil compare the height the ladders will reach. They determine which ladder trucks meet the cities' requirements and provide a...

Conduct indirect measurements three ways. Working in groups, pupils come up with different ways to measure three tall objects indirectly. The teacher provides measurement information requested by the teams, and learners then calculate...

Tackle a task on the gridiron. Scholars use geometric concepts to determine the distance on a coordinate plane that certain football players need to move for a play. They then design their own plays and create presentations where they...

Which option involves running less? Given a situation in which players can either run around the school soccer field 20 times or run back and forth along the diagonal 20 times, learners decide which option would be better. They consider...

Make math class feel like a day at the beach (minus all the sunburns, of course). Given information about a pail, a soup can, and a plastic pyramid mold, pupils calculate the volume of sand that can fit in each. They then design sand...

If you want a bigger garden, here's a task for you. Given the perimeter of a triangular garden, scholars determine the largest possible area. They then generalize their findings and extend the idea to other polygons.

Arr ye matey, it's time for some trig. Learners first read up on the 2010 attack on the USS Nicholas by a group of pirates and the testimony of one of the witnesses. They use right triangle trigonometry to determine if the account is...

Get new flooring for as cheap as possible. Given a floor plan of a house, pupils determine the area of each room and the amount of necessary flooring. They then make selections for the flooring in every space, taking a budget into...

Take the class over the rainbow. Pairs or small groups follow directions to create a spectrograph. The pupils measure the angles formed by the different colors of the spectrum along with calculating the lengths formed by the spectrum and...

Mathematics is stronger than a card house. Pupils watch a video of the beginning of the building of a triangular card house. Scholars come up with questions they wonder about from the video and ask for more information to arrive at an...

View a tree designed by Pythagoras. Pupils watch a video as a tree is built by using squares representing the side lengths of a right triangle, with each side of the squares becoming the side of another triangle. Learners come up with...

Sometimes it's important to stop and take the time to review. Pupils look back at the second half of the unit and consider what they have learned about integration. They complete a instructional activity of review problems that assesses...

Solve problems around a circle. Pupils watch a video that shows how to apply concepts about circles and related angles and segments to find solutions to word problems. Learners then review the different concepts from the unit in...

Scale up your lessons on geometry and ask learners to investigate conditions on triangles, scale drawings, the area and circumference of circles, and angle relationships. The resource includes activities and a homework assignment.

A series of assessment tasks require learners to process information and communicate solutions. Topics include graphing parabolas, solving linear-quadratic systems, factoring polynomials, and solving polynomial equations. 

To work through the complexity of coordinate geometry pupils make the connection between the coordinate plane and the complex plane as they plot complex numbers in the 11th part of a series of 32. Making the connection between the two...

Can your classes apply the knowledge they have learned? Use this performance task to find out! Individuals use transformations to explain congruence and angle relationships within parallel lines to find missing values. They show what...

Show learners how to develop a procedure for solving equations using radicals with the fifth activity of the 25-part module that challenges learners to use properties to solve multi-step quadratic and cubic equations. Individuals round...

This is a mid-module assessment for the 16th lesson in 29 geometry lessons. Individuals demonstrate their understanding of concepts such as vertical and adjacent angles, constructing geometric figures, and triangle congruence criteria.

Building on the previous lesson in the 29-part series, the ninth lesson asks individuals to construct a triangle given specific criteria. First, they are given three specific side lengths, followed by two sides and the included angle....